As far as I have understood, his main problem with Google is exactly as you describe him. He feels like Google is actively furthering a political agenda, namely the left one, and does not allow any dissidents or diversity of viewpoints. He explictly states that he is not against diversity, and that he is open to criticism and debate of the arguments he presented.

As for the cherry picking; remember that he is trying to make a point here, namely that biological differences might play a role over aggregated statistical differences, and that this might be one of the reasons we don't see the 50/50 split, and that ignoring this might be counter productive for everyone. Is the biological studies he have presented cherry picked? I'm sure you have seen the Quillette article [1], and the scientists quoted there does not seem to think so.

[1] http://quillette.com/2017/08/07/google-memo-four-scientists-....